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Finding the Fourth Proportional to 110,527.84, 152,524.38 and 65,207.80

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Solution

The fourth proportional to 110,527.84, 152,524.38 and 65,207.80 is: 89,984.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,527.84 : 152,524.38 = 65,207.80 : x
  2. Step 2: Convert to fraction form
    110,527.84/152,524.38 = 65,207.80/x
  3. Step 3: Cross multiply
    110,527.84x = 152,524.38 × 65,207.80
  4. Step 4: Simplify right side
    110,527.84x = 9,945,779,266.16
  5. Step 5: Solve for x
    x = 9,945,779,266.16/110,527.84
  6. Step 6: Final answer
    x = 89,984.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.